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Finding the Fourth Proportional to 31,756.47, 47,593.18 and 13,014.56

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Solution

The fourth proportional to 31,756.47, 47,593.18 and 13,014.56 is: 19,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.47 : 47,593.18 = 13,014.56 : x
  2. Step 2: Convert to fraction form
    31,756.47/47,593.18 = 13,014.56/x
  3. Step 3: Cross multiply
    31,756.47x = 47,593.18 × 13,014.56
  4. Step 4: Simplify right side
    31,756.47x = 619,404,521.19
  5. Step 5: Solve for x
    x = 619,404,521.19/31,756.47
  6. Step 6: Final answer
    x = 19,504.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.